Details

sample136.0ms

Algorithm

intervals

Results

50.0ms	245×	body	80	nan
42.0ms	256×	body	80	valid

simplify161.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	18	28
1	31	22
2	52	22
3	68	22
4	88	22
5	102	22
6	106	22
done	106	22

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.3b	(* (atan2 im re) (log base))
0.3b	(/ (- (* (atan2 im re) (log base)) (* 0.0 (log (hypot re im)))) (fma (log base) (log base) (* 0.0 0.0)))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`log-prod`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `hypot-udef` `flip3--` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

0.0ms	(hypot re im)
9.0ms	(* (atan2 im re) (log base))
39.0ms	(/ (- (* (atan2 im re) (log base)) (* 0.0 (log (hypot re im)))) (fma (log base) (log base) (* 0.0 0.0)))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series514.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(hypot re im)
34.0ms	(* (atan2 im re) (log base))
69.0ms	(/ (- (* (atan2 im re) (log base)) (* 0.0 (log (hypot re im)))) (fma (log base) (log base) (* 0.0 0.0)))
352.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify831.0ms

Counts

91 → 91

Iterations

Useful iterations: done (827.0ms)

Iter	Nodes	Cost
0	153	1628
1	329	1592
2	1293	1404
done	5001	1348

prune527.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (log base))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

9.0ms

(/ (atan2 im re) (log base))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(/ (atan2 im re) (log base))

simplify1.2s

Counts

36 → 36

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	64	394
1	110	375
2	305	353
3	1463	348
done	5000	346

prune118.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (log base))
0.3b	(* (atan2 im re) (/ 1 (log base)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-exp-log`
12×	`pow1`
9×	`add-cbrt-cube`
7×	`log-pow`
4×	`div-exp` `prod-exp` `associate-/r*`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 78

Calls

2 calls:

6.0ms	(/ 1 (log base))
20.0ms	(* (atan2 im re) (/ 1 (log base)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

175.0ms	(/ 1 (log base))
43.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify4.5s

Counts

84 → 84

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	104	789
1	225	657
2	2061	552
done	5000	540

prune254.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (pow (log base) 3))
0.3b	(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
0.6b	(cbrt (/ 1 (pow (log base) 3)))
0.7b	(pow (log base) 3)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

134×	`times-frac`
106×	`add-sqr-sqrt`
101×	`cbrt-prod`
88×	`*-un-lft-identity`
84×	`add-cube-cbrt`
49×	`associate-r`
46×	`unpow-prod-down` `cube-prod`
29×	`pow1`
22×	`log-pow`
16×	`add-exp-log`
14×	`associate-/r*`
13×	`sqr-pow`
11×	`cube-mult` `unpow3`
10×	`unswap-sqr`
8×	`add-cbrt-cube`
6×	`div-exp`
4×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow-unpow` `1-exp` `associate-l` `div-inv` `associate-/l*`
2×	`cbrt-div`
1×	`cbrt-undiv` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `inv-pow` `rem-cube-cbrt`

Counts

4 → 243

Calls

4 calls:

17.0ms	(/ 1 (pow (log base) 3))
70.0ms	(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
19.0ms	(cbrt (/ 1 (pow (log base) 3)))
6.0ms	(pow (log base) 3)

series776.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(/ 1 (pow (log base) 3))
47.0ms	(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
243.0ms	(cbrt (/ 1 (pow (log base) 3)))
222.0ms	(pow (log base) 3)

simplify1.2s

Counts

255 → 255

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	235	3316
1	462	2463
2	1979	2346
done	5001	2343

prune468.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
done	6	6

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	7966×	body	80	nan
1.5s	8000×	body	80	valid